Search a number
-
+
5763768 = 2333161127
BaseRepresentation
bin10101111111001010111000
3101211211101220
4111333022320
52433420033
6323312040
766663663
oct25771270
911754356
105763768
11328744a
121b1b620
13126a61a
14aa06da
1578cbb3
hex57f2b8

5763768 has 64 divisors (see below), whose sum is σ = 15237120. Its totient is φ = 1814400.

The previous prime is 5763743. The next prime is 5763773. The reversal of 5763768 is 8673675.

It is a d-powerful number, because it can be written as 59 + 7 + 63 + 313 + 76 + 64 + 87 .

Its product of digits (211680) is a multiple of the sum of its prime divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45321 + ... + 45447.

It is an arithmetic number, because the mean of its divisors is an integer number (238080).

Almost surely, 25763768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5763768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618560).

5763768 is an abundant number, since it is smaller than the sum of its proper divisors (9473352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5763768 is a wasteful number, since it uses less digits than its factorization.

5763768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 224 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 5763768 is about 2400.7848716618. The cubic root of 5763768 is about 179.2952691501.

The spelling of 5763768 in words is "five million, seven hundred sixty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 127 183 186 244 248 254 366 372 381 488 508 732 744 762 1016 1464 1524 1891 3048 3782 3937 5673 7564 7747 7874 11346 11811 15128 15494 15748 22692 23241 23622 30988 31496 45384 46482 47244 61976 92964 94488 185928 240157 480314 720471 960628 1440942 1921256 2881884 5763768